Absolute Stability of Nonlinear Systems with Two Additive Time-varying Delay Components
Absolute Stability of Nonlinear Systems with Two Additive Time-varying Delay Components作者机构:Higher Institute of Applied Sciences and Technology of Gab`es Department of Mathematics Street Amor Ben El Khatab 6029 Gab`es Tunisia National Engineering School of Sfax Department of Electrical Engineering Street Soukra km 3.5 B.P. 1173 3038 Sfax Tunisia
出 版 物:《International Journal of Automation and computing》 (国际自动化与计算杂志(英文版))
年 卷 期:2011年第8卷第4期
页 面:391-402页
核心收录:
学科分类:0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程]
主 题:Time-varying delay system additive delay absolute stability linear matrix inequalities (LMIs) S-procedure Lyapunov Krasovskii functional stabilization.
摘 要:In this paper, we present a new sufficient condition for absolute stability of Lure system with two additive time-varying delay components. This criterion is expressed as a set of linear matrix inequalities (LMIs), which can be readily tested by using standard numerical software. We use this new criterion to stabilize a class of nonlinear time-delay systems. Some numerical examples are given to illustrate the applicability of the results using standard numerical software.